Details

sample103.0ms

Algorithm

intervals

Results

41.0ms	243×	body	80	nan
38.0ms	267×	body	80	valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4987
8	2165
7	1360
6	876
5	580
4	389
3	184
2	62
1	24
0	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))
161.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ y (/ 1.0 (* x 9.0)))
70.0ms	(* 3.0 (sqrt x))
35.0ms	(/ 1.0 (* x 9.0))
96.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.6s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	2079
1	656
0	234

prune521.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
75×	`times-frac`
71×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-def` `div-exp`
2×	`sub-neg` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

16.0ms	(+ y (/ (/ 1.0 x) 9.0))
14.0ms	(* 3.0 (sqrt x))
145.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
9.0ms	(/ (/ 1.0 x) 9.0)

series225.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ y (/ (/ 1.0 x) 9.0))
66.0ms	(* 3.0 (sqrt x))
78.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
31.0ms	(/ (/ 1.0 x) 9.0)

simplify1.6s

Counts

184 → 184

Iterations

Iter	Nodes
done	5006
2	2456
1	893
0	334

prune758.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff`
20×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate--l+` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--` `difference-of-squares`

Counts

2 → 81

Calls

2 calls:

7.0ms	(* 3.0 (sqrt x))
86.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 3.0 (sqrt x))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1341
1	500
0	174

prune288.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (sqrt x) (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `associate-*r/` `add-exp-log`
10×	`add-cube-cbrt`
7×	`sqrt-prod`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-add`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`
1×	`distribute-lft-out--`

Counts

3 → 86

Calls

3 calls:

83.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
8.0ms	(* 3.0 (sqrt x))
77.0ms	(* (sqrt x) (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))))

series189.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
57.0ms	(* 3.0 (sqrt x))
84.0ms	(* (sqrt x) (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1999
1	499
0	170

prune394.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	8428×	body	80	nan
872.0ms	8486×	body	80	valid